Thermal conformal blocks

Yan Gobeil, Alexander Maloney, Gim Seng Ng, Jie-qiang Wu

SciPost Phys. 7, 015 (2019) · published 1 August 2019

Abstract

We study conformal blocks for thermal one-point-functions on the sphere in conformal field theories of general dimension. These thermal conformal blocks satisfy second order Casimir differential equations and have integral representations related to AdS Witten diagrams. We give an analytic formula for the scalar conformal block in terms of generalized hypergeometric functions. As an application, we deduce an asymptotic formula for the three-point coeffcients of primary operators in the limit where two of the operators are heavy.


Ontology / Topics

See full Ontology or Topics database.

Anti-de Sitter (AdS) space Conformal field theory (CFT)

Authors / Affiliations: mappings to Contributors and Organizations

See all Organizations.
Funders for the research work leading to this publication